165432819456 has 432 divisors, whose sum is σ = 503335752192. Its totient is φ = 52204339200.

The previous prime is 165432819451. The next prime is 165432819469. The reversal of 165432819456 is 654918234561.

165432819456 is a `hidden beast` number, since 1 + 6 + 543 + 2 + 8 + 1 + 94 + 5 + 6 = 666.

It is a super-2 number, since 2×165432819456² (a number of 23 digits) contains 22 as substring.

Its product of digits (6220800) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165432819451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866140321 + ... + 866140511.

It is an arithmetic number, because the mean of its divisors is an integer number (1165129056).

Almost surely, 2^165432819456 is an apocalyptic number.

165432819456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165432819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251667876096).

165432819456 is an abundant number, since it is smaller than the sum of its proper divisors (337902932736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165432819456 is a wasteful number, since it uses less digits than its factorization.

165432819456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 165432819456 in words is "one hundred sixty-five billion, four hundred thirty-two million, eight hundred nineteen thousand, four hundred fifty-six".